Answer:
The answer will be 64 if the angle is right angle
Answer:
56°
Step-by-step explanation:
GEOMETRY 100 POINTS
Find the length of BC
Answer:
x = 16
Step-by-step explanation:
Opposite sides are equal in a parallelogram
AD = BC
5x - 12 = 3x + 20
5x - 3x = 20 + 12
2x = 32
x = 32/2
x = 16
20x=60y What is x in terms of y? (Hope this isn't illogical)
Answer:
x=3y
Step-by-step explanation:
divide both sides by 20
20x = 60y
------ -------
20 20
x=3y
Answer:
x = 3y
Step-by-step explanation:
20x = 60y
Divide 20 into both sides.
20x/20 = 60y/20
1x = 6/2y
x = 3y
A manager randomly selected 25 large cash transactions at a bank that were made in January. The manager then carefully tracked down the details of these transactions to see that the correct procedures for reporting these large transactions were followed. If the chance for a procedural error is 10%, what is the probability that the manager finds more than two such transactions
Answer:
0.4629 = 46.29% probability that the manager finds more than two such transactions
Step-by-step explanation:
For each transaction, there are only two possible outcomes. Either there is a procedural error, or there is not. The probability of a procedural error on a transaction is independent of any other transaction. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
And p is the probability of X happening.
A manager randomly selected 25 large cash transactions at a bank that were made in January.
This means that \(n = 25\)
The chance for a procedural error is 10%
This means that \(p = 0.1\)
What is the probability that the manager finds more than two such transactions?
This is:
\(P(X \geq 2) = 1 - P(X < 2)\)
In which
\(P(X < 2) = P(X = 0) + P(X = 1) + P(X = 2)\)
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 0) = C_{25,0}.(0.1)^{0}.(0.9)^{25} = 0.0718\)
\(P(X = 1) = C_{25,1}.(0.1)^{1}.(0.9)^{24} = 0.1994\)
\(P(X = 2) = C_{25,2}.(0.1)^{2}.(0.9)^{23} = 0.2659\)
\(P(X < 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0718 + 0.1994 + 0.2659 = 0.5371\)
\(P(X \geq 2) = 1 - P(X < 2) = 1 - 0.5371 = 0.4629\)
0.4629 = 46.29% probability that the manager finds more than two such transactions
Using the binomial probability relation, the probability that more than 2 such transactions is made is 0.463
Given the Parameters :
Sample size, n = 25 Probability of success, p = 0.10q = 1 - p = 1 - 0.10 = 0.90Using the relation :
\( P(x = x) = nCx \times p^{x} * q^{n-x} \)Substituting the values into the relation :
P(X > 2) = P(X = 3) + P(X = 4) +... + P(X = 25)
Using a binomial probability calculator :
P(X > 2) = P(X = 3) + P(X = 4) +... + P(X = 25)
P(X > 2) = 0.226 + 0.138 +... +..
P(X > 130) = 0.463
The probability that more than 2 such transactions is made is 0.463
Learn more : https://brainly.com/question/15607519
Find the perimeter of the figure to the nearest hundredth.
The perimeter of the shape is 26.85 inches
What is perimeter ?A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length. The perimeter of a circle or an ellipse is called its circumference.
The shape consist of a rectangle joined with a semi circle.
Therefore the perimeter of the shape is calculated as:
7+7+ 5+ πd/2
where πd/2 is the circumference of the semi circle
= 7+7+5+(3.14× 5/2)
= 7+7+5+7.89
= 26.85 inches
therefore the perimeter of the shape is 26.85 inches
learn more about perimeter from
https://brainly.com/question/19819849
#SPJ1
The manager of a boat club recorded the number of people riding each boat at the club on a Saturday morning. The table shows the data.
Which of the following is the best measure of VARIABILITY for this data?
A. mean
B. interquartile range
C. median
D. mean absolute deviation
The best measure of VARIABILITY for the number of people riding each boat at the club on a Saturday morning as recorded by the boat club manager is D. mean absolute deviation.
What is the mean absolute deviation?The mean absolute deviation (MAD) is the mean or average distance between each data value and the mean of the data set.
The mean absolute deviation (MAD) quantifies the data spread.
The MAD is computed by taking each number in the data set, subtracting the mean, and taking the absolute value, which is summed.
Then this sum is divided by the total number of values in the data set.
Thus, while other measures of variability include the range, the interquartile range (IQR), and the variance, the standard deviation and the mean absolute deviation are the most popular measures of volatility or variability.
Learn more about the measures of variability at https://brainly.com/question/30689990.
#SPJ1
At 0°C, the volume of a gas is 22 liters. For each degree the temperature T
(in degrees Celsius) increases, the volume V
(in liters) of the gas increases by 225
. Write an equation that represents the volume of the gas in terms of the temperature.
The gas has a capacity of 22 litres at 0 degrees Celsius and increases by 225 litres for each degree above that.
Volume explains: What exactly is it?Volume is the amount of space a thing takes up, whereas capacity is the amount of substance it can hold, such as a solid, liquid, or gas. Volume is typically measured in cubic units, whereas capability can be measured in virtually any other unit, such as litres, gallons, pounds, and so on.
According to the problem statement, the volume of the gas and the temperature T in degrees Celsius have a direct relationship. Furthermore, we know that the gas expands by 225 litres for every degree of temperature rise. With this knowledge, we can create the equation shown below:
V = 22 + 225T
where T is indeed the temperature is degrees Celsius and V is the gas's volume in liters.
To know more about Volume visit:
https://brainly.com/question/1578538
#SPJ1
You want to buy some rice. A 7-ounce package costs $2.59. A 16-ounce package costs $5.60. A 24-ounce package costs$9.36. Which package is the best buy?
Answer:
Thanks
Step-by-step explanation:
Thanks
Solve the problem
X/5 +4=17
Answer:
x = 65
Step-by-step explanation:
X/5 +4=17
Subtract 4 from each side
X/5 +4-4=17-4
x/5 = 13
Multiply each side by
x/5 *5 = 13*5
x = 65
Answer:
x=65
Step-by-step explanation:
x/5+4=17
solve for x by simplifying for both sides of the equation, then isolate the variable. x=65
Which is the correct formula to find the distance between two points (a, b) and (c,d)?
d =
a-D )+(c-d
d-
a+c)2-( D + d
d-
a+b ) - ( c+d)
0 -
2-0 )2 + ( b-d)
Answer:
Distance = √(a - c)² + (b - d)²
Step-by-step explanation:
Given:
Two points
(a, b) (c, d)
Find:
Distance
Computation:
Distance = √(x1 - x2)² + (y1 - y2)²
So,
Distance = √(a - c)² + (b - d)²
Which equation has a variable Isolated? (PUT NO SPACES WHEN TYPING THE EQUATION y=4x and 3x+2y=55
Answer:
X is five, 100% :D
Step-by-step explanation:
Kyler noticed that there were seven microscopic sea creatures lined up end to end. If each creature was 3.9 x 10 cm long, how long was the chain?
If the planet Neptune is 2.794 x 10 miles from the sun and the planet Earth is 9.3 x 10' miles from the sun, how many times farther away from the sun is Neptune than Earth?
Answer: 273 cm, 300
Step-by-step explanation:
Given
The length of each sea creature is \(3.9\times 10\ cm\)
for 7 microscopic creature, it is
\(\Rightarrow 7\times 3.9\times 10\\\Rightarrow 273\ cm\)
The distance of Neptune from the sun is \(2.794\times 10^9\ \text{miles}\)
and the earth is \(9.3\times 10^7\ \text{miles}\) from the sun
Comparison of neptune and earth distance
\(=\dfrac{2.794\times 10^9}{9.3\times 10^7}\\\\=0.300\times 10^2\\=300.4\)
Neptune is 300 times farher away form the sun than earth
Suppose you go to work for a company that pays one penny on the first day, 2 cents on the second day, 4 cents on the third day and so on.
Hint: use an= a1 (r)^n-1 and Sn= a1 (1-r^n) / 1 - r
A. If the daily wage keeps doubling, what would your income be on day 31? Give your answer in dollars NOT pennies.
Income on day 31 = $ __________
B. If the daily wage keeps doubling, what will your total income be for working 31 days? Give your answer in dollars NOT pennies.
Total Income for working 31 days = $ _________
Using the given function, the income for day 31 is
$10,737,418.24the total Income for working 31 days is
$21 474 836.47 How to find the income on day 31Using the given function an = a1 (r)^n-1
where
a1 = first day = 1
r = common ratio = 2
The income on day 31, n = 31
= 1 * 2^(31 - 1)
= 2^30
= 1,073,741,824 cents
= $10,737,418.24
Total Income for working 31 days n = 31
Using Sn= a1 (1-r^n) / 1 - r
Sn = (1 * (1 - 2^31)) / (1 - 2)
Sn = (1 - 2^31)) / - 1
Sn = (1 - 2147483648) /-1
Sn = 2147483647
Sn = 2,147,483,647 cents
Sn = $21 474 836.47
Learn more about geometric progression at:
https://brainly.com/question/12006112
#SPJ1
Select the correct name in the table.
A teacher arranged some pencils on her desk as shown below and asked her students what concept the pencils demonstrated.
Allie said the pencils are an example of perpendicular lines.
Caryl said the pencils are an example of perpendicular segments.
Frank said the pencils are an example of parallel lines.
Hector said the pencils are an example of parallel segments.
Morgan said the pencils are an example of lines that are neither parallel nor perpendicular.
Terrence said the pencils are an example of segments that are neither parallel nor perpendicular.
Which student answered correctly?
Allie Caryl Frank
Hector Morgan Terrence
The person that is correct among the students is Frank who said the pencils are an example of parallel lines.
What are parallel lines?Parallel lines are lines that can never meet. These are lines that run a direction that is quite opposite to each other as we can see from the image. It is clear that the lines as shown are not able to meet at any point even if they are extended.
Thus, the person that is correct among the students is Frank who said the pencils are an example of parallel lines.
Learn more about parallel lines:https://brainly.com/question/16701300
#SPJ1
Simplify (x^2)^3*5x/6x^2*15x^3
When we Simplify [(x^2)^3 × 5x] / [6x^2 × 15x^3], the result obtained is (1/18)x^2
Data obtained from the question[(x^2)^3 × 5x] / [6x^2 × 15x^3]Simplification =?How to simplify [(x^2)^3 × 5x] / [6x^2 × 15x^3][(x^2)^3 × 5x] / [6x^2 × 15x^3]
Recall
(M^a)^b = M^ab
Thus,
(x^2)^3 = x^6
[(x^2)^3 × 5x] / [6x^2 × 15x^3] = [x^6 × 5x] / [6x^2 × 15x^3]Recall
M^a × M^b = M^(a+b)
Thus,
x^6 × 5x = 5x^(6 + 1) = 5x^7
6x^2 × 15x^3] = (6×15)x^(2 + 3) = 90x^5
[x^6 × 5x] / [6x^2 × 15x^3] = 5x^7 / 90x^5Recall
M^a ÷ M^b = M^(a - b)
Thus,
5x^7 ÷ 90x^5 = (5÷90)x^(7 - 5) = (1/18)x^2
Therefore,
[(x^2)^3 × 5x] / [6x^2 × 15x^3] = (1/18)x^2Learn more about algebra:
https://brainly.com/question/2768008
#SPJ1
find the unknown measures. round lengths to the nearest hundredth and angle measures to the nearest degree.
The unknown measures are from right angle triangle is
KM = 10.68
∠m = 35 and ∠k = 55
Given that
KL =6.2
LM =8.7
KM = x
The trigonometric ratios of a given acute angle are the ratios of the sides of a right-angled triangle with respect to that angle.
The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec). In geometry, trigonometry is a branch of mathematics that deals with the sides and angles of a right-angled triangle. Therefore, trig ratios are evaluated with respect to sides and angles.
The triangle that is presented is a right angle triangle.
\(KM^{2}\) = \(LM^{2}\) + \(KL^{2}\)
KM = \(\sqrt{(8.7)^{2} + (6.2)^{2} }\)
KM = \(\sqrt{114.13}\)
KM = 10.68
Now figure out the angles.
∠m = sinm
= P/H
=6.2/10.2
∠m = 35
Again,
∠k = sink
=P/H
= 8.7/10.6
∠k = 55
To learn more about trigonometric ratios:
https://brainly.com/question/25122825
#SPJ4
A store buys purses for $24.50 and then marks them up 25%. The store then discounts any purses that do not sell in the first month by 10%. Find the sales price of the purse that do not sell in the first month
Answer:$27,57
1)find out how much wallets cost in the first month:
24,50 -100%
х - 125%
х= 24,50*125/100 ≈ 30,63
2)we will find out how much the wallets cost after the price is reduced by 10%:
30,63 - 100%
х -90%
х=30,63*90/100 ≈ 27,57
Step-by-step explanation:
The pyramid shown below has a square base, a height of 7, and a volume of 84 cubic units.
What is the length of the side of the base?
12
36
6
18
If you spun the spinner 100 times, how many times would you expect to spin yellow?
Answer:
if you want help, can u pls add the link for the question or show a pic
Step-by-step explanation:
Find the area. Simplify your answer.
2x
3x
Answer:
We know,
Area of triangle = 1/2 * b * h
= 1/2 * 2x * 3x
= 1/2 * 6x
= 3x
Hope it helped
All the best !!
The area of the given triangle is 3x².
What is Triangle?A triangle is a two dimensional figure which consist of three vertices, three edges and three angles.
Sum of the interior angles of a triangle is 180 degrees.
Given a triangle.
Area of a triangle can be found using the formula,
Area = \(\frac{1}{2}\) × base × height
Given,
Base = 3x and height = 2x
So using the formula,
Area = \(\frac{1}{2}\) × 3x × 2x
= 3x × x
= 3x²
Hence the area of the triangle is 3x².
Learn more about Area of Triangle here :
https://brainly.com/question/27683633
#SPJ2
what is the remainder for the synthetic division problem? (image attached)
Answer:
D
Step-by-step explanation:
3 | 1 5 - 8 6
↓ 3 24 48
----------------------
1 8 16 54 ← Remainder
Ghana van company invested P45 700 for two years at a rate of 12%per annum compounded for quarter year. Work out the compound interest over the two years
\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$45700\\ r=rate\to 12\%\to \frac{12}{100}\dotfill &0.12\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &2 \end{cases}\)
\(A = 45700\left(1+\frac{0.12}{4}\right)^{4\cdot 2}\implies A=45700(1.03)^8 \implies A \approx 57891.39 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{earned interest}}{57891.39~~ - ~~45700} ~~ \approx ~~ \text{\LARGE 12191.39}\)
please helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
D
Step-by-step explanation:
I used the Distributive Property of Exponents. This property states that (xy)^n=x^n * y^n. It distributes the power to all the values in the base.
Hence (2x)^6=2^6 * x^6==> D
Answer:
Step-by-step explanation:
Determine whether the distribution is a discrete probability distribution
X. 1 2 3 4 50
P(x) 0.28 0.45 0.11 0.08 0.08
Is the distribution a discrete probability distribution?
O A. Yes, because the sum of the probabilities is equal to 1 and each probability is between 0 and 1, inclusive.
OB. No, because each probability is not between 0 and 1, inclusive.
O c. Yes, because the sum of the probabilities is equal to 1.
OD. No, because the sum of the probabilities is not equal to 1.
Answer:
A child psychologist is interested in the number of times a newborn baby’s crying wakes its mother after midnight. For a random sample of 50 mothers, the following information was obtained. Let X = the number of times per week a newborn baby’s crying wakes its mother after midnight. For this example, x = 0, 1, 2, 3, 4, 5.
P(x) = probability that X takes on a value x.
x P(x)0 P(x = 0) = 250
1 P(x = 1) = 1150
2 P(x = 2) = 2350
3 P(x = 3) = 950
4 P(x = 4) = 450
5 P(x = 5) = 150
Step-by-step explanation:
pa follow po pls.
Find the area and perimeter of the rectangle Length = 5cm Breadth =2cm
Answer:
perimeter: 14
Area: 10
Step-by-step explanation:
PERIMETER
2x(L+B) = 2x(5+2) = 2x(7) = 14
AREA
LxB = 5x2 = 10
PLEASE MARK ME BRAINLIEST
Select the correct answer from each drop-down menu. Each graph shows the results of a transformation applied to function f where f(x) = (1/2)^x.
Complete the statement given that g(x) =f(kx). The graph of function g is graph Because the graph a function g is the result of a  applied to the graph of function F .
Given that g(x) =f(kx). The graph of function g is graph Z Because the graph a function g is the result of a horizontal compression applied to the graph of function F.
What is a graph?A graph can be described as a pictorial representation or a diagram that represents data or values in an organized manner.
The graph of the function g(x) = f(kx) is obtained from the graph of f(x) by a horizontal compression or stretching, depending on the value of k.
In conclusion, If k is greater than 1, then the graph of g(x) is obtained from the graph of f(x) by a horizontal compression.
Learn more about graph of the function at: https://brainly.com/question/28643733
#SPJ1
Some values of the linear function f are given in the table shown. What is the value of f(100)?
Answer:
f(100) = 160.
Step-by-step explanation:
Linear function:
The equation of a linear function has the following format:
\(y = mx + b\)
In which m is the slope(how much f(x) changes when x changes by 1) and b is the y-intercept(value of f(x) when x = 0).
Finding the slope:
Suppose we have two points. The slope is the change in the output divided by the change in the input.
In this question, we have points (45,50) and (60,80).
Change in the output: 80 - 50 = 30
Change in the slope: 60 - 45 = 15
Slope: 30/15 = 2
So
\(y = 2x + b\)
Point (45,50)
This means that when \(x = 45, y = 50\). We use this to find the value of b.
\(y = 2x + b\)
\(50 = 2(45) + b\)
\(b = -40\)
So
\(y = 2x - 40\)
With y = f(x)
What is the value of f(100)?
This is y when x = 100. So
\(f(100) = 2(100) - 40 = 200 - 40 = 160\)
f(100) = 160.
how do i work out 320.041 - 47.96
To subtract 47.96 from 320.041, you can align the decimal points and then subtract each digit from right to left.
First, write the numbers with the decimal points aligned:
320.041
- 47.960
Next, subtract the digits in the ones place, which is 1 minus 0, resulting in 1. Then, subtract the digits in the tenths place, which is 4 minus 6. Since 4 is less than 6, you need to borrow 1 from the digit to the left, making the 2 into a 1 and adding 10 to the 4, giving you 14. So, 14 minus 6 equals 8.
Continue subtracting each digit in the same way:
320.041
- 47.960
= 272.081
Therefore, 320.041 minus 47.96 is equal to 272.081.
To learn more about subtraction click on,
https://brainly.com/question/2346316
#SPJ1
What is the function equation for the graph below?
The function equation for the graph above include the following: B. f(x) = -[x] + 3.
What is a greatest integer function?In Mathematics and Geometry, a greatest integer function can be defined as a type of function which returns the greatest integer that is less than or equal (≤) to the number.
Mathematically, the greatest integer that is less than or equal (≤) to a number (x) is represented as follows:
y = [x].
By critically observing the given graph, we can logically deduce that the parent function was reflected over the y-axis (negative slope) and it was vertically translated from the origin by 3 units up;
y = [x]
f(x) = -[x] + 3.
Read more on greatest integer function here: brainly.com/question/12165085
#SPJ1
I’s it yes or no because you have to justify the answer
Yes, both triangles are similar.
What is similar triangle?Similar triangles are two triangles that have the same shape, but may differ in size. In other words, their corresponding angles are congruent and their corresponding sides are proportional. This means that if you were to scale one triangle up or down, it would still maintain the same shape as the other triangle.
In ΔABC,
AC² = 36² +15²
AC² = 1521 = 39²
AC = 39
In ΔXYZ,
XY² = 24² +10²
XY² = 676 = 26²
XY = 26
If the ratio of the sides of both triangles are similar So we can say that the both triangles are similar.
AB/XZ = BC/YZ = AC/XY
15/10 = 36/24 = 39/26
3/2 = 3/2 = 3/2
Here we can see that the ratio of the sides of both triangles are similar So we can say that the both triangles are similar.
To know more about triangle, visit:
https://brainly.com/question/17815056
#SPJ1
(a)
Two friends, Jeanette and Zoe, are growing out their hair. They plan to cut it off at a certain point and donate it to a charity that makes wigs for people with cancer. Jeanette's hair is already 29 centimeters long and grows at a constant rate of 1 centimeter per month. Zoe's hair is 12 centimeters and growing at a speed of 2 centimeters per month. If the girls get their hair cut on a certain day, they will have exactly the same length to donate. How long will their hair be? How long will that take?
Part A:
Using the variables y for total growth and x for rate of change answer the questions below.
Create the equation for Jeanette's hair growth:
Create the equation for Zoe's hair growth
Answer:
Step-by-step explanation:
J: y = 29 cm + (1 cm/mo)x
Z: y = 12 cm + (2 cm/mo)x
29 cm + (1 cm/mo)x = 12 cm + (2 cm/mo)x
Solve for x to find how many months it will take for them to have the same length of hair:
29 cm - 12 cm = (2 cm/mo)x - (1 cm/mo)x
17 cm = (1 cm/mo)x
x = (17 cm) / (1 cm/mo) = 17 months
Plug this value for x (17 months) into the equations to find how long their hair will be:
J: y = 29 cm + (1 cm/mo)(17 mo) = 46 cm
Z: y = 12 cm + (2 cm/mo)(17 mo) = 46 cm
This shows that it will take 17 months for each girl's hair to be 46 cm long.